Consider the following equilibrium at 395K: NH4HS(s)<-> NH3(g) + H2S(g) The partial pressure of each gas is 0.265 atm. Calculate Kc for the reaction.
Kp = pNH3*pH2S
Substitute partial pressures and solve for Kp. Then convert Kp to kc by
Kp = Kc*RTdelta n
Note that I omitted some parentheses.
Kp = Kc*(RT)delta n
To calculate the equilibrium constant (Kc) for the given reaction, we need to use the equilibrium expressions and the given information.
The balanced equation for the reaction is:
NH4HS(s) ⇌ NH3(g) + H2S(g)
For the reaction, the equilibrium constant expression is written as follows:
Kc = [NH3(g)] * [H2S(g)] / [NH4HS(s)]
Given that the partial pressure of each gas is 0.265 atm, we can assume the concentration of NH3(g) and H2S(g) is directly proportional to their respective partial pressures. We can consider the concentration of NH4HS(s) as 1 M because it is a solid and doesn't contribute to the expression.
Therefore, the equilibrium constant (Kc) can be calculated as:
Kc = (0.265 * 0.265) / 1
Kc = 0.070225
So, the value of Kc for the given reaction at 395K is approximately 0.070225.
To calculate the equilibrium constant, Kc, for the given reaction, you need to use the partial pressures of the gases involved.
Given:
Reaction: NH4HS(s) ↔ NH3(g) + H2S(g)
Partial pressure of NH3 (PNH3) = 0.265 atm
Partial pressure of H2S (PH2S) = 0.265 atm
The equilibrium constant expression for this reaction can be written as:
Kc = [NH3] * [H2S]
To determine the concentrations of NH3 and H2S, you need to convert the partial pressures to molar concentrations. This can be done using the ideal gas law:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L·atm/(mol·K))
T = temperature (in Kelvin)
For NH3:
nNH3/V = PNH3/RT
For H2S:
nH2S/V = PH2S/RT
Since the volume is not given, the volume cancels out when calculating the equilibrium constant. Therefore, you can rewrite the expression as:
Kc = (PNH3/RT) * (PH2S/RT)
Substituting the given values:
Kc = (0.265/RT) * (0.265/RT)
Now, substitute the value for the temperature (395 K) and solve for Kc:
Kc = (0.265/0.0821*395) * (0.265/0.0821*395)
After performing the calculations, you will find the value of Kc for the reaction.